Best comprehensive Reference Book for Pure Math?

[phusicist]

For those of you who don't know, "Formulas and Theorems" is basically a compilation of thousands of math theorems, 6000+ formulas, with a summary of their proofs, covering most of what was known in the late 18th century.

What I'm looking for is a comprehensive reference book with worked examples, possibly one to practice proofs, very much like "Formulas and Theorems in Pure mathematics" by George Shoobridge Carr, except more up to date, and covering more advanced topics. Any suggestions?

Thanks.

 

[johnshade]

Wasn't that the book Ramanujan taught himself out of?

 

[saratchandra]

I'm looking for a similar book. Is there a more up-to-date and modern version of carr? or a similar one?

 

[Petek]

You might want to look at the Oxford Users' Guide to Mathematics. You can view some of the content on Amazon and judge if that's what you had in mind. Here's another review. You also could search Amazon for either Handbook of Mathematics or Mathematical Handbook, but most of the results are oriented towards scientists and engineers. I own this volume. It's very comprehensive, but I don't refer to it very often.

 

[mathwonk]

you might try The Princeton Companion to Mathematics [Hardcover]
Timothy Gowers (Editor), June Barrow-Green (Editor), Imre Leader (Editor).

https://www.amazon.com/dp/0691118809/?tag=pfamazon01-20

 

[khil_phys]

Will these books be helpful for a high school or undergrad student?

 

[MissSilvy]

Nuts, I was really curious to see Carr's book and I can't seem to find it on sale anywhere except India (and even that's out of stock). Did this book get reprinted under a different title or is it simply not sold anymore?

 

[chronon]

Nuts, I was really curious to see Carr's book and I can't seem to find it on sale anywhere except India (and even that's out of stock). Did this book get reprinted under a different title or is it simply not sold anymore?

It's out of copyright. It had to be available online somewhere.

http://www.archive.org/details/synopsisofelemen00carrrich